Conditional Probability. The probability of an event A, given the occurrence of some other event B: Ex: A card is selected from a standard 52 card deck.

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Conditional Probability

The probability of an event A, given the occurrence of some other event B: Ex: A card is selected from a standard 52 card deck. If a red card is selected, what is the probability it is a King? Given (B) Desired (A)

Area Method for Conditional Probability A survey of 500 adults asked about college expenses. The survey asked questions about whether or not the person had a child in college and about the cost of attending college. Results are shown in the table below: Cost too MuchCost Just RightCost Too Low Child in College Child not in College Suppose one person is chosen at random. Given that the person has a child in college, what is the probability that he or she ranks the cost of attending college as “cost too much”? Given child in college Desired cost too much Child in College Cost too Much